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ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1998; 13(2): 273-280

Printed June 1, 1998

Copyright © The Korean Mathematical Society.

Notes on the Factors Over the Hilbert Space $L^2 (R_G, \mu_l)$

Dong Seo Kim, Chang Ho Byun

Chonnam National University, Chonnam National University

Abstract

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We construct factors of type $III$ and of type $II_{\infty}$ over the Hilbert spaces on the equivalence relations.

Keywords: countable equivalence relation, von Neumann algebra, factor

MSC numbers: 46L35

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